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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 74, 2018 - Issue 4
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Articles

Two-level meshless local Petrov Galerkin method for multi-dimensional nonlinear convection–diffusion equation based on radial basis function

Jingwei LiCollege of Mathematics and Systems Science, Xinjiang University, Urumqi, P.R. China; Correspondence[email protected]
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Jianping ZhaoCollege of Mathematics and Systems Science, Xinjiang University, Urumqi, P.R. China; View further author information
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Lingzhi QianCollege of Mathematics and Systems Science, Xinjiang University, Urumqi, P.R. China; ;Department of Mathematics, College of Sciences, Shihezi University, Shihezi, P.R. ChinaView further author information
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Xinlong FengCollege of Mathematics and Systems Science, Xinjiang University, Urumqi, P.R. China; View further author information
Pages 685-698 | Received 20 Aug 2018, Accepted 16 Oct 2018, Published online: 15 Jan 2019

Citations (7)

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Fengyang Zhao, Jingwei Li, Xufeng Xiao & Xinlong Feng. (2019) The characteristic RBF-FD method for the convection-diffusion-reaction equation on implicit surfaces. Numerical Heat Transfer, Part A: Applications 75:8, pages 548-559.
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Articles from other publishers (6)

Jufeng Wang, Yong Wu, Ying Xu & Fengxin Sun. (2023) A Dimension-Splitting Variational Multiscale Element-Free Galerkin Method for Three-Dimensional Singularly Perturbed Convection-Diffusion Problems. Computer Modeling in Engineering & Sciences 135:1, pages 341-356.
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Hijaz Ahmad, Tufail A. Khan, Predrag S. Stanimirovic, Wasfi Shatanawi & Thongchai Botmart. (2022) New approach on conventional solutions to nonlinear partial differential equations describing physical phenomena. Results in Physics 41, pages 105936.
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N. Eini, M. H. Afshar, S. Faraji Gargari, G. Shobeyri & A. Afshar. (2020) A fully Lagrangian mixed discrete least squares meshfree method for simulating the free surface flow problems. Engineering with Computers 38:S1, pages 331-351.
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Nikunja Bihari Barik & Venkata Satya Sekhar Tatavarthi. (2021) A modified multilevel meshfree algorithm for steady convection‐diffusion problems. International Journal for Numerical Methods in Fluids 93:7, pages 2121-2135.
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Hijaz Ahmad, Tufail A. Khan, Predrag S. Stanimirović, Yu-Ming Chu & Imtiaz Ahmad. (2020) Modified Variational Iteration Algorithm-II: Convergence and Applications to Diffusion Models. Complexity 2020, pages 1-14.
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Jingwei Li, Zhiming Gao, Xinlong Feng & Yinnian He. (2019) Method of Order Reduction for the High-Dimensional Convection-Diffusion-Reaction Equation with Robin Boundary Conditions Based on MQ RBF-FD. International Journal of Computational Methods 17:08, pages 1950058.
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